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Finding the Fourth Proportional to 138.28, 207.18 and 97.56

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Solution

The fourth proportional to 138.28, 207.18 and 97.56 is: 146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.28 : 207.18 = 97.56 : x
  2. Step 2: Convert to fraction form
    138.28/207.18 = 97.56/x
  3. Step 3: Cross multiply
    138.28x = 207.18 × 97.56
  4. Step 4: Simplify right side
    138.28x = 20,212.48
  5. Step 5: Solve for x
    x = 20,212.48/138.28
  6. Step 6: Final answer
    x = 146.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.